Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below: An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S, and a dashed line is drawn from O to S, such that OS bisects angle POQ.

Which could be the measures of angle POS and angle POQ?

Measure of angle POS is 35 degrees; measure of angle POQ is 65 degrees.
Measure of angle POS is 40 degrees, measure of angle POQ is 70 degrees.
Measure of angle POS is 45 degrees, measure of angle POQ is 75 degrees.
Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees.

The composite figure is made up of a parallelogram and a rectangle. find the area. a. 76 sq. units b. 48 sq. units c. 124 sq. units d. 28 sq. units

Amajor grocery store chain is trying to cut down on waste. currently, they get peaches from two different distributors, whole fruits and green grocer. out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. she then makes a confidence interval. is there a significant difference in the quality of the peaches between the two distributors? 95% ci for pw-pg: (0.064, 0.156)

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.